Question

In: Advanced Math

Are {4cos^2(x),cos(2x),5} linearly independent? prove without wronskian

Are {4cos^2(x),cos(2x),5} linearly independent? prove without wronskian

Solutions

Expert Solution

not linearly independent.

As, 4Cos2x = 4(1+cos2x) = 4(cos2x)+5(4/5)

Since, one element is written as linear combination of other two, given set is not linearly independent.

See attached for other method.


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